Transcription of 8th Grade Math Guided Notes
1 8th Grade math Guided Notes Two Guided Color-coded Interactive math notebook Pages Solutions to Linear Equations in One Variable The _____ of an equation is the value(s) of the variable(s) that make the equation a true statement. Equations in one variable can have _____ solution, _____ solutions or _____ solution. One Solution Infinite Solutions No Solution Reasoning: What the type of solution means. Only _____ value will make the equation true. _____ _____ _____ value will make the equation true. _____ _____ _____ values will make the equation true. _____ _____ True Solution? Always, Sometimes, Never _____ A conditional equation is true for some values of x. _____ _____ _____ An identity is always true, for any value of x. _____ _____ _____ A contradiction is never true for any value of x.
2 _____ _____ Example: . + = _____ = _____ ____ = ____ ____ is the only number that makes the equation true. + = + _____ = _____ _____ _____ for x will make the equation true. + = + _____ = _____ _____ _____ for x will make the equation true. Hints: Look at both sides of the equation. End result still has a _____ and a _____. Variables cancel each other out and both sides of the equation _____ _____. Variables cancel each other out and both sides of the equation _____ _____. Date Determining the Type of Solution One Solution Infinite Many SolutionsNo Solution Simplified Equation 3x 5 = 7x + 3 2 + 4x = 4x + 2 8x + 9 = 8x 5 Look at the Variable Terms.
3 The variable terms are _____. Variable terms are the_____. Both sides _____. Variable terms are the_____. Both sides_____. Example One: Determine if the equation has one solution, infinite many solutions, or no solution. 2(4x + 5) = 5(2x + 4) _____ _____ The equation has _____. The solution means _____ _____. Example Two: Determine if the equation has one solution, infinite many solutions, or no solution. 2(5x + 4) 11 = 4x + 3(2x 1) _____ _____ The equation has _____. The solution means _____ _____. Example Three: Determine if the equation has one solution, infinite many solutions, or no solution. 4x +3(5x + 6) = 7(2x + 1) 3x _____ _____ The equation has _____. The solution means _____ _____. _____ both sides of the equation. Variable terms are _____. Equation can be _____.
4 _____ both sides of the equation. Variable terms are _____. and both sides are _____. _____ both sides of the equation. Variable terms are _____. and both sides are _____. Date _____ Thank you for downloading RoxyGirl Teacher s Rockstar Teaching Resources. I hope this resource makes your math lesson Rock . I would love for you to follow me at my TPT store, my math blog, Twitter, or Instagram. :o) @RoxyGirlTeacher Copyright 2011 RoxyGirl Teacher: Rockstar Teaching Resources All rights reserved by author. Permission to copy for single classroom use only. Not for public display. Putting any part of this product on the internet in any form is strictly forbidden.
